SPS SPS SM Mechanics 2023 January — Question 3

Exam BoardSPS
ModuleSPS SM Mechanics (SPS SM Mechanics)
Year2023
SessionJanuary
TopicNewton's laws and connected particles

  1. A parcel \(P\) of weight 50 N is being held in equilibrium by two light, inextensible strings \(A P\) and \(B P\). The string \(A P\) is attached to a wall at \(A\), and string \(B P\) passes over a smooth pulley which is at the same height as \(A\), as shown in the diagram.
When the tension in \(B P\) is 40 N , the strings are at right angles to each other.
\includegraphics[max width=\textwidth, alt={}, center]{4109fba0-077e-472b-b37f-7ac2e45aacc7-08_531_768_479_699}
  1. Find the tension in string \(A P\).
  2. Explain why the parcel can never be in equilibrium, with both strings horizontal. \section*{BLANK PAGE FOR WORKING}